{"status": "success", "data": {"description_md": "Points $A$ and $B$ are on a circle of radius $5$ and $AB = 6$. Point $C$ is the midpoint of the minor arc $AB$. What is the length of the line segment $AC$?\n\n$\\textbf{(A)}\\ \\sqrt {10} \\qquad \\textbf{(B)}\\ \\frac {7}{2} \\qquad \\textbf{(C)}\\ \\sqrt {14} \\qquad \\textbf{(D)}\\ \\sqrt {15} \\qquad \\textbf{(E)}\\ 4$<br>\n___\nFull credit goes to [MAA](https://maa.org/) for authoring these problems. These problems were taken on the [AOPS](https://artofproblemsolving.com/) website.", "description_html": "<p>Points <span class=\"katex--inline\">A</span> and <span class=\"katex--inline\">B</span> are on a circle of radius <span class=\"katex--inline\">5</span> and <span class=\"katex--inline\">AB = 6</span>. Point <span class=\"katex--inline\">C</span> is the midpoint of the minor arc <span class=\"katex--inline\">AB</span>. What is the length of the line segment <span class=\"katex--inline\">AC</span>?</p>&#10;<p><span class=\"katex--inline\">\\textbf{(A)}\\ \\sqrt {10} \\qquad \\textbf{(B)}\\ \\frac {7}{2} \\qquad \\textbf{(C)}\\ \\sqrt {14} \\qquad \\textbf{(D)}\\ \\sqrt {15} \\qquad \\textbf{(E)}\\ 4</span><br/></p>&#10;<hr/>&#10;<p>Full credit goes to <a href=\"https://maa.org/\">MAA</a> for authoring these problems. These problems were taken on the <a href=\"https://artofproblemsolving.com/\">AOPS</a> website.</p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 2, "problem_name": "2008 AMC 12B Problem 9", "can_next": true, "can_prev": true, "nxt": "/problem/08_amc12B_p10", "prev": "/problem/08_amc12B_p08"}}